6(t+1)-4(3t+8)=-7(t+4)+2

Solution for 6(t+1)-4(3t+8)=-7(t+4)+2 equation:

Simplifying
6(t + 1) + -4(3t + 8) = -7(t + 4) + 2

Reorder the terms:
6(1 + t) + -4(3t + 8) = -7(t + 4) + 2
(1 * 6 + t * 6) + -4(3t + 8) = -7(t + 4) + 2
(6 + 6t) + -4(3t + 8) = -7(t + 4) + 2

Reorder the terms:
6 + 6t + -4(8 + 3t) = -7(t + 4) + 2
6 + 6t + (8 * -4 + 3t * -4) = -7(t + 4) + 2
6 + 6t + (-32 + -12t) = -7(t + 4) + 2

Reorder the terms:
6 + -32 + 6t + -12t = -7(t + 4) + 2

Combine like terms: 6 + -32 = -26
-26 + 6t + -12t = -7(t + 4) + 2

Combine like terms: 6t + -12t = -6t
-26 + -6t = -7(t + 4) + 2

Reorder the terms:
-26 + -6t = -7(4 + t) + 2
-26 + -6t = (4 * -7 + t * -7) + 2
-26 + -6t = (-28 + -7t) + 2

Reorder the terms:
-26 + -6t = -28 + 2 + -7t

Combine like terms: -28 + 2 = -26
-26 + -6t = -26 + -7t

Add '26' to each side of the equation.
-26 + 26 + -6t = -26 + 26 + -7t

Combine like terms: -26 + 26 = 0
0 + -6t = -26 + 26 + -7t
-6t = -26 + 26 + -7t

Combine like terms: -26 + 26 = 0
-6t = 0 + -7t
-6t = -7t

Solving
-6t = -7t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '7t' to each side of the equation.
-6t + 7t = -7t + 7t

Combine like terms: -6t + 7t = 1t
1t = -7t + 7t

Combine like terms: -7t + 7t = 0
1t = 0

Divide each side by '1'.
t = 0

Simplifying
t = 0